Two point charges are located on the x-axis. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The work done $W$ in bringing a charge $q_3$ from infinity to a point is equal to the change in potential energy of the system,which is $W = q_3 \

Vedclass · Accepted Answer

$4.5 	imes 10^{-3} \ J$

Vedclass · Answer

(B) The work done $W$ in bringing a charge $q_3$ from infinity to a point is equal to the change in potential energy of the system,which is $W = q_3 	imes V$,where $V$ is the electric potential at the point $x = 2 \ m$ due to charges $q_1$ and $q_2$.The potential $V$ at $x = 2 \ m$ is given by:$V = \frac{1}{4\pi \epsilon_0} \left( \frac{q_1}{r_1} + \frac{q_2}{r_2} ight)$Here,$r_1$ is the distance from $q_1$ to $x = 2 \ m$,so $r_1 = 2 \ m$. $r_2$ is the distance from $q_2$ to $x = 2 \ m$,so $r_2 = 1 \ m$.Substituting the values:$W = q_3 	imes \frac{1}{4\pi \epsilon_0} \left( \frac{-1 	imes 10^{-6}}{2} + \frac{1 	imes 10^{-6}}{1} ight)$$W = (9 	imes 10^9) 	imes (1 	imes 10^{-6}) 	imes \left( -0.5 	imes 10^{-6} + 1 	imes 10^{-6} ight)$$W = 9 	imes 10^3 	imes (0.5 	imes 10^{-6})$$W = 4.5 	imes 10^{-3} \ J$

Two point charges are located on the $x$-axis. $q_1 = -1 \ \mu C$ at $x = 0$ and $q_2 = +1 \ \mu C$ at $x = 1 \ m$. Find the work done in bringing a third charge $q_3 = +1 \ \mu C$ from infinity to $x = 2 \ m$.

Similar Questions

$A$ charge of $5\,C$ is given a displacement of $0.5\,m$. The work done in the process is $10\,J$. The potential difference between the two points will be.......$V$

$A$ regular hexagon of side $6 \ cm$ has a charge of $2 \ \mu C$ at each of its vertices. What is the potential at the centre of the hexagon? $\left[\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \text{ SI units}\right]$

$64$ drops of mercury,each charged to a potential of $10\,V$,are combined to form one bigger drop. The potential of this bigger drop will be.......$V$ (Assume all the drops to be spherical).

$A$ charge $Q$ is distributed over three concentric spherical shells of radii $a, b, c$ $(a < b < c)$ such that their surface charge densities are equal to one another. The total potential at a point at distance $r$ from their common centre,where $r < a$,would be

$A$ hollow conducting sphere of radius $R$ carries a charge $(+Q)$ on its surface. Find the electric potential at a distance $r = R/3$ from its center.

Vedclass Test Series

Exam Paper Generator

Online Exam Module